Two of the three electrons in a lithium atom have quantum numbers \( \left(n, \ell, m_{i} m_{s}\...

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Two of the three electrons in a lithium atom have quantum numbers \( \left(n, \ell, m_{i} m_{s}\right) \) of \( (1,0,0,+1 / 2) \) and \( (1,0,0,-1 / 2) \). What quantum numbers are possible for the third electron if the atom is (a) in the ground state and (b) in the first excited state?
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